%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN201-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:49:54 PM UTC 2026
% Result : Unsatisfiable 2.65s 1.08s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 11 unt; 2 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 16 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_186) ).
fof(f227,axiom,
! [X0] :
( s2(X0)
| ~ q2(b,X0,b)
| ~ s1(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_189) ).
fof(f369,negated_conjecture,
~ s2(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f824,definition,
( spl0_108
<=> s1(b) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f826,plain,
( ~ s1(b)
| spl0_108 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f828,definition,
( spl0_109
<=> ! [X0] :
( s2(X0)
| ~ q2(b,X0,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f829,plain,
( ! [X0] :
( ~ q2(b,X0,b)
| s2(X0) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f830,plain,
( ~ spl0_108
| spl0_109 ),
inference(avatar_split_clause,[],[f227,f828,f824]) ).
fof(f1013,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1016,plain,
( $false
| spl0_108 ),
inference(forward_subsumption_resolution,[],[f1013,f826]) ).
fof(f1017,plain,
spl0_108,
inference(avatar_contradiction_clause,[],[f1016]) ).
fof(f1036,plain,
l1(b,b),
inference(resolution,[],[f40,f15]) ).
fof(f1117,plain,
( ~ l1(b,b)
| s2(b)
| ~ spl0_109 ),
inference(resolution,[],[f224,f829]) ).
fof(f1120,plain,
( s2(b)
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f1117,f1036]) ).
fof(f1123,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f1120,f369]) ).
fof(f1124,plain,
~ spl0_109,
inference(avatar_contradiction_clause,[],[f1123]) ).
cnf(s61,plain,
( ~ spl0_108
| spl0_109 ),
inference(sat_conversion,[],[f830]) ).
cnf(s105,plain,
spl0_108,
inference(sat_conversion,[],[f1017]) ).
cnf(s124,plain,
~ spl0_109,
inference(sat_conversion,[],[f1124]) ).
cnf(s128,plain,
$false,
inference(rat,[],[s61,s124,s105]) ).
fof(f1125,plain,
$false,
inference(avatar_sat_refutation,[],[s128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN201-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n002.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 15:41:07 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.65/1.08 % (463756)Input is clausal, will run a generic CNF schedule.
% 2.65/1.08 % (463764)lrs+10_1_sil=8000:sp=occurrence:random_seed=1130294257:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.65/1.08 % (463764)First to succeed.
% 2.65/1.08 % (463764)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-463756"
% 2.65/1.08 % (463762)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4262842166:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.65/1.08 % (463761)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4284470381:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.65/1.08 % (463763)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4184807345:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.65/1.08 % (463767)dis-21_1_sil=8000:lcm=predicate:random_seed=2558398148:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.65/1.08 % (463765)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2157047544:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.65/1.08 % (463765)Also succeeded, but the first one will report.
% 2.65/1.08 % (463767)Also succeeded, but the first one will report.
% 2.65/1.08 % (463766)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1375150488:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.65/1.08 % (463766)Also succeeded, but the first one will report.
% 2.65/1.08 % (463764)Refutation found. Thanks to Tanya!
% 2.65/1.08 % SZS status Unsatisfiable for theBenchmark
% 2.65/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.08 % (463764)------------------------------
% 2.65/1.08 % (463764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.08 % (463764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.08 % (463764)CaDiCaL version: 2.1.3
% 2.65/1.08 % (463764)Termination reason: Refutation
% 2.65/1.08 % (463764)Time elapsed: 0.006 s
% 2.65/1.08 % (463764)Peak memory usage: 89 MB
% 2.65/1.08 % (463764)Instructions burned: 13 (million)
% 2.65/1.08 % (463764)------------------------------
% 2.65/1.08 % (463764)------------------------------
% 2.65/1.08 % (463756)Success in time 0.3 s
% 2.65/1.08 % Vampire exiting
%------------------------------------------------------------------------------